{
  "id": "2310.03516",
  "version": "v1",
  "published": "2023-10-05T12:56:15.000Z",
  "updated": "2023-10-05T12:56:15.000Z",
  "title": "The discrete horospherical $p$-Minkowski problem in hyperbolic space",
  "authors": [
    "Haizhong Li",
    "Yao Wan",
    "Botong Xu"
  ],
  "comment": "25 pages, 6 figures. Comments are welcome",
  "categories": [
    "math.MG"
  ],
  "abstract": "In \\cite{LX}, the first author and the third author introduced and studied the horospherical $p$-Minkowski problem for smooth horospherically convex domains in hyperbolic space. In this paper, we introduce and solve the discrete horospherical $p$-Minkowski problem in hyperbolic space for all $p\\in(-\\infty,+\\infty)$ when the given measure is even on the unit sphere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-05T12:56:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A55",
      "52A20"
    ],
    "keywords": [
      "minkowski problem",
      "hyperbolic space",
      "discrete horospherical",
      "smooth horospherically convex domains",
      "first author"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}